Step-by-step explanation:
Given that,
Mass of Ella is 56 kg and mass of Tyrone is 68 kg.
Position of Ella is 1.5 m on the ramp.
Potential energy of an object is given by :
P = mgh
It is directly proportional to the position of an object.
If Tyrone stands at the top of ramp at more height than Ella, it will have more potential energy. Hence, the correct option is (d) "If Tyrone stands at the top of a 2 m high ramp, his potential energy will be greater than Ella's."
Answer:
Interest rate is 9.59%
Step-by-step explanation:
The interest rate the investment must earn in order that the death benefit could of $81,000 in 24 years' time can be derived from the rate formula in excel spreadsheet.
=rate(nper,pmt,-pv,fv)
nper is the number of years the $9,000 would be invested for i.e 24 years
pmt is the periodic additional investment which is zero
pv is the amount invested today i.e $9000
fv is the amount of death benefit payable in 24 years' time that is $81000
=rate(24,0,-9000,81000)=9.59%
Answer: 18 units
Step-by-step explanation:since its is a horizontal line x2 - x1
7 -1 = 6
line 2:
since this is a vertical line y2 - y1
7 - 3 = 4
line 3:
since this is a horizontal line x2 - x1
7 - 4 = 3
line 4:
for this we need to use the distance formula which allows us to find the distance making a third point to form a right angle triangle
point 1: (1,3)
point 2: (4,7)
point 3 (new point) : (4,3)
now we can apply the pythogorean thereum (C squared = B squared + A squared) with the following lines.
line 1: (1,3) - (4,7)
line 2: (1,3) - (4,3)
line 3: (4,3) - (4,7)
line 1 squared = line2 squared + line 3 squared
calculate length of line 2 and 3
line 1 squared = (4 - 1) squared + (7 - 3) squared
line 1 squared = 3 squared + 4 squared
line 1 squared = 9 + 16
line 1 squared = 25
root both sides
line 1 = 5
add all the liens together
6 + 4 + 3 + 5 = 18
Answer:
61°
Step-by-step explanation:
Since the angles make up a full circle which is 360°, deduct all the degrees with numbers from 360°
360 - 65 - 50 - 62 = 183
x + 2x = 3 x
3x = 183
x = 183 ÷ 3 = 61